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Consider two functions, f(x) and g(x), related as follows: xf(g(In(x))) = A sin(x), where A is a constant. Which of the following statements is TRUE?

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Consider two functions, f(x) and g(x), related as follows: xf(g(In(x))) = A sin(x), where A is a constant. Which of the following statements is TRUE? g'(In(z)) _ Acos(2)-f(g(In(z) f'(g(In(I))) OA cos(z) - f(g(In(r))) + xf'(g'(In(x))) Of'(g'(1)) = A cos(ac) Of'(g'(1)) = Asin(z) Of(g(In(x))) + xf'(g(In(x))) + xf(g'(In(x))) + rf(g( =)) = Acos(x)

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